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(5)发展高精度、高效率的数值算法。相比较网格类方法,无网格粒子类方法在裂纹扩展问题的
              求解上具备优势,但需要消耗更多的计算资源。发挥不同方法的优势,进一步发展各种方法的混合模
              型,可以大幅度提高计算效率和计算精度。此外,将传统数值计算模型与机器学习                                        [79] 等方法相结合也
              是一种有效途径。


              参 考 文 献:

                [ 1] 张昭,高帅东,祝良玉,等.表征干燥失水诱发膨胀土收缩 - 开裂 - 沉陷机理的数学模型[J].水利学报,
                      2023,54(1):79 - 93.
                [ 2] 章青,刘攀勇,顾鑫,等.土壤干缩开裂和卷曲分析的数值模型与若干进展Ⅰ:基本方程与网格类数值方
                       法[J].水利学报,2025,56(1):42 - 55.
                [ 3] 章青,顾鑫.近场动力学—理论、模型与应用[M].北京:科学出版社,2024.
                [ 4] LUCYLB.A numericalapproachtothetestingofthefissionhypothesis[J].AstronomicalJournal,1977,82:
                      1013 - 1024.
                [ 5] BELYTSCHKOT, TABBARA M.Dynamicfractureusingelement -freeGalerkin methods[J].International
                       JournalforNumericalMethodsinEngineering,1996,39(6):923 - 938.
                [ 6] LIUM B, LIU G R.Smoothed particlehydrodynamics(SPH): an overview and recentdevelopments[J].
                       ArchivesofComputationalMethodsinEngineering ,2010,17:25 - 76.
                [ 7] DAIZ,HUANGY,CHENGH,etal.SPHmodelforfluid - structureinteractionanditsapplicationtodebrisflow
                       impactestimation[J].Landslides,2017,14:917 - 928.
                [ 8] PASTORM,BLANCT,HADDADB,etal.ApplicationofaSPH depth - integratedmodeltolandsliderun - out
                       analysis[J].Landslides,2014,11:793 - 812.
                [ 9] FENGR,FOURTAKASG,ROGERSBD,etal.Two - phasefully - coupledsmoothedparticlehydrodynamics
                       (SPH)modelforunsaturatedsoilsanditsapplicationtorainfall - inducedslopecollapse[J].Computersand
                       Geotechnics,2022,151:104964.
                [10] BUIH H,NGUYENGD,KODIKARAJ,etal.Soilcrackingmodellingusingthemesh - freeSPHmethod[C]??
                      12thAustraliaNewZealandConferenceonGeomechanics.2015.
                [11] PERONH,HUECKELT,LALOUIL,etal.Fundamentalsofdesiccationcrackingoffine - grainedsoils:experi
                       mentalcharacterizationandmechanismsidentification[J].CanadianGeotechnicalJournal,2009,46(10):1177 - 1201.
                [12] TRANH T,WANGY,NGUYENGD,etal.Modelling3Ddesiccationcrackinginclayeysoilsusingasize - de
                       pendentSPH computationalapproach[J].ComputersandGeotechnics,2019,116:103209.
                [13] TRANH T,NGUYENN H,NGUYEN G D,etal.MeshfreeSPH modellingofshrinkageinducedcrackingin
                       clayeysoils [C]??CIGOS2019.2020.
                [14] BUIH,NGUYENG.FracturingSPH particles:anewcontinuum approachtomodeldesiccationcrackinginclay
                       soils[C]??AGUFallMeeting.2019.
                [15] NGUYENG D.HierarchicalmultiscaleSPH (HM- SPH): anew continuum approachtomodeldesiccation
                       crackinginclaysoils [C]??Proceedingsofthe20thInternationalConferenceonSoilMechanicsandGeotechnicalEn
                       gineering.2021.
                [16] PREECHAWUTTIPONGI,INGSUWANP,PEYROUX R,etal.Cracknucleationandpropagationinrounded
                       cohesivegranularmedia [J].Strength,Fracture& Complexity,2006,4(3):161 - 168.
                [17] JIAX,HAOY,LIP,etal.Nanoscaledeformationandcrackprocessesofkaoliniteunderwaterimpactusingmo
                       leculardynamicssimulations[J].AppliedClayScience,2021,206:106071.
                [18] TONGK,GUOJ,CHENS,etal.Asimulationstudyontheswellingandshrinkingbehaviorsofnanosizedmont
                       morillonitebasedonmontecarloandmoleculardynamics [J].Geofluids,2021,2021(1):1038205.
                [19] ZHANGZ,SONGX.Moleculardynamicsmodelingofcracksindryclaysheetsatthenanoscale[J].Computers
                       andGeotechnics ,2022,152:105037.
                [20] VOGELH J,HOFFMANN H, LEOPOLD A, etal.Studiesofcrackdynamicsinclaysoil: II.A physically
                       basedmodelforcrackformation[J].Geoderma,2005,125(3?4):213 - 223.
                [21] ZHUL,SHENT,MAR,etal.Developmentofcracksinsoil:Animprovedphysicalmodel[J].Geoderma,

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